Question

Geometry question, please explain how you got to the answer so that i can do it myself on other questions as well, thanks!

Answer 1

AAS

Explanation:

< K = < L (given)

<KLJ = < MLJ ( because JL bisects < KLM)

JK = JM (given)

we have 2 equal angles and one equal side with the 2 angles adjacent.

Answer is AAS

Answer 2

AAS

Explanation:

Here is the setting out proof with a - side note:

In Triangle JLM and Triangle JLK

Angle K is equal to Angle M (given) - This is a pair of matching angles

JK = JM (given) - This is a pair of matching sides

Since JL bisects KLM, Angle KLJ = Angle MLJ (Bisect means it cuts it in half, meaning the angle has been divided into two equal parts) - This is a pair of matching angles.

Therefore, Triangle JLM and Triangle JLK are congruent (AAS) - The reason why we do AAS is because we have two pairs of matching angles and a pair of sides are equal. It is call AAS and not ASA, unknown reason but that is just how it is.